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Finding the Fourth Proportional to 9,612, 13,264.76 and 5,420.25

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Solution

The fourth proportional to 9,612, 13,264.76 and 5,420.25 is: 7,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612 : 13,264.76 = 5,420.25 : x
  2. Step 2: Convert to fraction form
    9,612/13,264.76 = 5,420.25/x
  3. Step 3: Cross multiply
    9,612x = 13,264.76 × 5,420.25
  4. Step 4: Simplify right side
    9,612x = 71,898,328.94
  5. Step 5: Solve for x
    x = 71,898,328.94/9,612
  6. Step 6: Final answer
    x = 7,480.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.